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pooja195 (pooja195):
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OpenStudy (anonymous):
2m=-4n-4
3m+5n=-3
Vocaloid (vocaloid):
start by rewriting the first equation to match the format of the second equation
2m + 4n = -4
3m + 5n = -3
start by multiplying the first equation by 3 and tell me what you get
OpenStudy (anonymous):
6+12=-12
Vocaloid (vocaloid):
don't forget the variables, those are important
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Vocaloid (vocaloid):
6m + 12n = -12
Vocaloid (vocaloid):
now multiply the second equation by (-2)
OpenStudy (anonymous):
ok -6m+-10n=-6
Vocaloid (vocaloid):
almost, should be positive 6 at the end
OpenStudy (anonymous):
oh yes sorry
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Vocaloid (vocaloid):
so we have
6m + 12n = -12
-6m - 10n = 6
now add the two equations together
OpenStudy (anonymous):
0m+2n=-6
Vocaloid (vocaloid):
good, so n = ?
OpenStudy (anonymous):
-3
Vocaloid (vocaloid):
good.
so, we can take one of the equations
2m + 4n = -4
and plug in n to solve for m
2m + 4(-3) = -4
m = ?
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OpenStudy (anonymous):
-2?
Vocaloid (vocaloid):
not quite
2m - 12 = -4
2m = 8
m = ?
OpenStudy (anonymous):
4
Vocaloid (vocaloid):
good, so m = 4 and n = -3, and that's our solution